A Global Saturation Theorem for the Mixed Exponential Type Integral Operators

A general exponential type integral operator, called mixed exponential type integral operator, is introduced, and the properties of this type of integral operator are studied. Based on the improved Bajsanski-Bojanic parabolic method and the related properties of integral operators, a global saturation theorem for the mixed exponential type integral operatorLnis established. So, the saturation results of some operators including Baskakov operator can be obtained easily, hence laying a basis for studying the approximation transformation theoremof the mixed exponential type integral operators, and presenting a new method for studying the saturation problems.